Solve for A
A=-\frac{125}{Z}
Z\neq 0
Solve for Z
Z=-\frac{125}{A}
A\neq 0
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100-15^{2}=2\times 0.5ZA
Calculate 10 to the power of 2 and get 100.
100-225=2\times 0.5ZA
Calculate 15 to the power of 2 and get 225.
-125=2\times 0.5ZA
Subtract 225 from 100 to get -125.
-125=ZA
Multiply 2 and 0.5 to get 1.
ZA=-125
Swap sides so that all variable terms are on the left hand side.
\frac{ZA}{Z}=-\frac{125}{Z}
Divide both sides by Z.
A=-\frac{125}{Z}
Dividing by Z undoes the multiplication by Z.
100-15^{2}=2\times 0.5ZA
Calculate 10 to the power of 2 and get 100.
100-225=2\times 0.5ZA
Calculate 15 to the power of 2 and get 225.
-125=2\times 0.5ZA
Subtract 225 from 100 to get -125.
-125=ZA
Multiply 2 and 0.5 to get 1.
ZA=-125
Swap sides so that all variable terms are on the left hand side.
AZ=-125
The equation is in standard form.
\frac{AZ}{A}=-\frac{125}{A}
Divide both sides by A.
Z=-\frac{125}{A}
Dividing by A undoes the multiplication by A.
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